142Calculation ParametersCalculation ParametersCalculation Parameters<strong>Timing</strong> belts can be applied to one of the following three fields:› Power transmission › Linear drives › ConveyingThe calculations are based on the:› Tooth strength › Cord strength › FlexibilityThe general method of the timing belt calculation, is shown inthe flowchart on the front folding double page of this catalogue.The numbers in the circles on the flow chart refer to thecorresponding steps in the following explanatory text.How to use the power rating tables:To keep the size of the power rating tables to an acceptablelimit, the power ratings are only given for a specific numberof teeth and speeds. Interim values can by calculated by linearinterpolation, values which exceed the tables can be calculatedby linear extrapolation.1) Calculating intermediate linear values:The general formula for this is:f1− f0f ( x)= f0 + *( x − x0)x − x1Example: calculate the mechanical power for a T10 moulded timing belt ata speed of 1050 rpm and for 21 teeththe power value for 1000 rpm (x0) is 0,0983 W/mm (f0) (see table of T10moulded)the power value for 1100 rpm (x1) is 0,1508 W/mm (f1)the power value for the requested 1050 rpm (f(x)) is:0Step a: Calculation of power/torque/force:The mechanical power Pmech to be transmitted by the timingbelt, can be calculated from the forces F, torques T or the motoroutput P mot:1 1 1P mech= F * v * — = 2 * p * n * M * — = P mot * c * — [W]h h hwith v ... Velocity [m/s]h ... Efficiency [-], approx. 0,8 ... 0,95p ... 3,1416 [-]n ... Speed [1/s]P mot... Motor power or required power to drivea machine [W]c ... Security factor [-], see the following chapterI. Where the motor output/power demand is knownThe known power must be multiplied by security factors fromthe following tables:duty of operation (factor c h):mode description factor c hEasy No peak loads, small load variations,1,0clean environmental conditionsMediumHeavyVery heavyMedium peak loads, medium load variations,clean environmental conditionsHigh load peaks, large load variations,medium pollutionHigh peak loads, extreme load variations,strongly polluted1,21,51,8Copyright © Ammeraal Beltech 20060,1508 − 0,0983L ( 1050) = 0,0983+*(1050 −1000)= 0,12455 W / mm1100 −1000Note: the power values are not linear, so the linear calculation/extrapolation onlyresults in approximate values, which are accurate enough for a safe dimensioningof the timing belt2) Calculating linear values exceeding the table:The general formula for this is:f1− f0f ( x)= f0 + *( x − x0)x − x10Example: calculate the mechanical power for a T10 moulded timingbelt at a speed of 1000 rpm and for 60 teeth (a maximum of 56 teethis given in the table)the power value for 54 teeth (x0) is 0,2527 W/mm (f0).the power value for 56 teeth (x1) is 0,2621 W/mm (f1).the power value for the requested 60 teeth (f(x)) is:0,2621−0,2527L ( 60) = 0,2527 +*(60 − 54) = 0,2809 W / mm56 − 54service factor c s:Operating time [h/day] factor c s0 – 2 –0,13 – 8 0,08 – 16 +0,116 – 24 +0,2load factor cl:Motor typeSoft start torque (up to1.5 times of nominaltorque)Medium start torque(1.5 to 2.5 times ofnominal torque)High start torque(over 2.5 times ofnominal torque)factor c l0,0+0,1+0,2The power P mechto be transmitted by the timing belt is calculatedas follows:1P mech= P mot * (c h+ c s+ c l) * — [W]h
Calculation Parameters143Calculation ParametersII.Where the torque is knownClimbing resistance F inclThe name plate on motor gear boxesoften gives information about the torqueT. If this torque is given as the nominaltorque, the maximum torque while startingthe engine is calculated as follows:F incl= m * g * sin a [N]The total force to be transmitted by the timing belt is:F = (m * (a + g * sin a + g * cos a * (m oder ƒ ))) R * (1,05 ÷ 1,15) [N]T mech= T mot * (1,5 ÷ 2,5) [Nm]Result step 1:Leistung P mechoder Drehmoment T oder Kraft FIII. Where the mechanical forces areknown / can be calculatedMass inertial forces Fac when accelerating,forces from motion resistance Fremand climbing resistance Fincl have to betaken into account. Forces due to a largerotating mass (gear wheels, mandrels,clutches etc.) are considered a factorbetween 1.05 and 1.15:F = (F ac+ F rem+ F incl) * (1,05 ÷ 1,15) [N]The individual forces are determined asfollows:Acceleration force:F ac= m * a [N]with m...Mass to be accelerated, [kg]a...Maximum acceleration [m/s2]Step b: Select „Torque“, moulded, jointed or open lengthmaterialThe following calculation enables the selection of type oftiming belt needed. For example, open length material, jointed,moulded or truly endlessly („Torque“) timing belts:• Open length material is used almost exclusively in lineardrives. It can be supplied in every possible length (in generalup to 120 metres)• Moulded belts are inexpensive and have short lead times.The tensional strength is 20% less than open length orTorque type belts. The moulded sizes are only available incertain lengths (see appropriate AB catalogue for mouldedtiming belts sizes available). They are normally used for powertransmission applications, with centre-centre distances ofgenerally less than one metre.• Jointed timing belts are less expensive than Torque belts.Starting from the minimum, these can be made at any lengthrequested. They are available on short lead times, but due towelded joint the tensile strength is around 50% lower thanopen length or Torque belts. This weakness can be compensatedby using wider widths. This type of belt is mainly usedfor transportation and conveying purposes.Calculation ParametersMotion resistance:F rem= m * a * m *cos a bzw.F rem= m * a * ƒ R *cos a [N]with m...Moved mass [kg]g...Acceleration of gravity [m/s 2 ],9,81 m/s 2a... Angle of gradient [°]m... Coefficient of friction [-],approx. 0,1... 0,4f R... Coefficient of rolling friction [-],approx. 0,01 ... 0,05• Torque timing belts are the most efficient due to the trulyendless nature of the product. Torque belts are highest pricedand depending on the number of teeth are generally madeto order. They are used for high performance drives as wellas for heavy load transportation applications.Result step 2: Open length material, jointed,moulded or Torque beltCopyright © Ammeraal Beltech 2006